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Finding the Fourth Proportional to 209,952,472.80, 314,928,709.20 and 73,651,634.40

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Solution

The fourth proportional to 209,952,472.80, 314,928,709.20 and 73,651,634.40 is: 110,477,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,472.80 : 314,928,709.20 = 73,651,634.40 : x
  2. Step 2: Convert to fraction form
    209,952,472.80/314,928,709.20 = 73,651,634.40/x
  3. Step 3: Cross multiply
    209,952,472.80x = 314,928,709.20 × 73,651,634.40
  4. Step 4: Simplify right side
    209,952,472.80x = 23,195,014,152,062,316
  5. Step 5: Solve for x
    x = 23,195,014,152,062,316/209,952,472.80
  6. Step 6: Final answer
    x = 110,477,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.